1
1
<?xml version="1.0" encoding="UTF-8"?>
2
2
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="umf_lusolve">
4
<refname>umf_lusolve</refname>
5
<refpurpose> solve a linear sparse system given the LU factors </refpurpose>
8
<title>Calling Sequence</title>
9
<synopsis>[x] = umf_lusolve(LU_ptr, b [, st, A])</synopsis>
12
<title>Arguments</title>
17
<para>a pointer to umf lu factors (L,U,p,q,R) </para>
23
<para>a real or complex column vector or a matrix (multiple rhs)</para>
29
<para>(optional) a string "Ax=b" (default) or "Ax'=b"
30
(to be written "Ax''=b" in scilab langage: a quote in a string
38
<para>(optional) the sparse square matrix corresponding to the LU factors (LU_ptr must be got with LU_ptr = umf_lufact(A))</para>
44
<para>a column vector or a matrix in case of multiple rhs ( x(:,i) is solution of A x(:,i) = b(:,i) or A'x(:,i) = b(:,i) )</para>
50
<title>Description</title>
52
This function must be used in conjonction with <link linkend="umf_lufact">umf_lufact</link> which
53
computes the LU factors of a sparse matrix. The optional
54
<literal>st</literal> argument lets us choose between the solving of Ax=b (general case)
55
or of A'x=b (sometimes useful). If you give the 4th argument then
56
iterative refinement will be also proceceed (as in umfpack) to
57
give a better numerical solution.
61
<title>Examples</title>
63
see the example section of <link linkend="umf_lufact">umf_lufact</link>
66
<refsection role="see also">
67
<title>See Also</title>
68
<simplelist type="inline">
70
<link linkend="umfpack">umfpack</link>
73
<link linkend="umf_lufact">umf_lufact</link>
76
<link linkend="umf_luget">umf_luget</link>
79
<link linkend="umf_ludel">umf_ludel</link>
82
<link linkend="umf_luinfo">umf_luinfo</link>
4
<refname>umf_lusolve</refname>
5
<refpurpose> solve a linear sparse system given the LU factors </refpurpose>
8
<title>Calling Sequence</title>
9
<synopsis>[x] = umf_lusolve(LU_ptr, b [, st, A])</synopsis>
12
<title>Arguments</title>
17
<para>a pointer to umf lu factors (L,U,p,q,R) </para>
23
<para>a real or complex column vector or a matrix (multiple rhs)</para>
29
<para>(optional) a string "Ax=b" (default) or "Ax'=b"
30
(to be written "Ax''=b" in scilab langage: a quote in a string
38
<para>(optional) the sparse square matrix corresponding to the LU factors (LU_ptr must be got with LU_ptr = umf_lufact(A))</para>
44
<para>a column vector or a matrix in case of multiple rhs ( x(:,i) is solution of A x(:,i) = b(:,i) or A'x(:,i) = b(:,i) )</para>
50
<title>Description</title>
52
This function must be used in conjonction with <link linkend="umf_lufact">umf_lufact</link> which
53
computes the LU factors of a sparse matrix. The optional
54
<literal>st</literal> argument lets us choose between the solving of Ax=b (general case)
55
or of A'x=b (sometimes useful). If you give the 4th argument then
56
iterative refinement will be also proceceed (as in umfpack) to
57
give a better numerical solution.
61
<title>Examples</title>
63
see the example section of <link linkend="umf_lufact">umf_lufact</link>
66
<refsection role="see also">
67
<title>See Also</title>
68
<simplelist type="inline">
70
<link linkend="umfpack">umfpack</link>
73
<link linkend="umf_lufact">umf_lufact</link>
76
<link linkend="umf_luget">umf_luget</link>
79
<link linkend="umf_ludel">umf_ludel</link>
82
<link linkend="umf_luinfo">umf_luinfo</link>